42468604560 has 480 divisors, whose sum is σ = 155307559680. Its totient is φ = 10770278400.

The previous prime is 42468604559. The next prime is 42468604561. The reversal of 42468604560 is 6540686424.

42468604560 is a `hidden beast` number, since 4 + 2 + 4 + 6 + 86 + 0 + 4 + 560 = 666.

42468604560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42468604559) and next prime (42468604561).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42468604561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40026430 + ... + 40027490.

It is an arithmetic number, because the mean of its divisors is an integer number (323557416).

Almost surely, 2^42468604560 is an apocalyptic number.

42468604560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42468604560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77653779840).

42468604560 is an abundant number, since it is smaller than the sum of its proper divisors (112838955120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42468604560 is a wasteful number, since it uses less digits than its factorization.

42468604560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 42468604560 in words is "forty-two billion, four hundred sixty-eight million, six hundred four thousand, five hundred sixty".